Geometry 8-5a GeoGebra Primer: The Law of Sines
By Matt Richardson
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Last updated about 3 years ago
9 Questions
Familiarize yourself with the embedded GeoGebra applet before completing the items that follow.
Be sure to drag the vertices around and try the tool on a variety of triangles.
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10
Question 1
1.
Vocabulary: What is found in the top-left corner of the applet?
Vocabulary: What is found in the top-left corner of the applet?
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10
Question 2
2.
Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.
Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.
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10
Question 3
3.
Exploration: Classify each of the elements from the applet.
Exploration: Classify each of the elements from the applet.
- a
- b
- c
- CAB
- ABC
- BCA
- Sin(CAB)
- Sin(ABC)
- Sin(BCA)
- Trigonometric ratio
- Side length
- Angle
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10
Question 4
4.
Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?
Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?
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Question 5
5.
Exploration: What happens when the slider is moved from position 2 to position 3?
Exploration: What happens when the slider is moved from position 2 to position 3?
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Question 6
6.
Exploration: What happens when the slider is moved from position 3 to position 4?
Exploration: What happens when the slider is moved from position 3 to position 4?
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Question 7
7.
Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.
Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.
10 points
10
Question 8
8.
Review: To what type(s) of triangles do the properties of SOH-CAH-TOA apply? Select all that apply.
Review: To what type(s) of triangles do the properties of SOH-CAH-TOA apply? Select all that apply.
10 points
10
Question 9
9.
Extension: To what type(s) of triangles do the properites of this exploration apply? Select all that apply.
Extension: To what type(s) of triangles do the properites of this exploration apply? Select all that apply.